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Finding the Fourth Proportional to 18,582.86, 27,878.88 and 5,435.48

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Solution

The fourth proportional to 18,582.86, 27,878.88 and 5,435.48 is: 8,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.86 : 27,878.88 = 5,435.48 : x
  2. Step 2: Convert to fraction form
    18,582.86/27,878.88 = 5,435.48/x
  3. Step 3: Cross multiply
    18,582.86x = 27,878.88 × 5,435.48
  4. Step 4: Simplify right side
    18,582.86x = 151,535,094.66
  5. Step 5: Solve for x
    x = 151,535,094.66/18,582.86
  6. Step 6: Final answer
    x = 8,154.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.